Convergence of ray sequences of Padé approximants for2f1(a, 1;c;z), (c>a> 0)

DOI10.2989/16073600209486038zbMath1046.41007arXiv0901.0435OpenAlexW1993274266MaRDI QIDQ4802196

Kathy A. Driver, Kerstin Jordaan

Publication date: 14 October 2003

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.0435

zbMATH Keywords

Padé approximationhypergeometric functionsconvergence of ray sequence of Padé approximantszeros and poles of Padé approximants

Mathematics Subject Classification ID

Padé approximation (41A21) Classical hypergeometric functions, ({}_2F_1) (33C05) Asymptotic representations in the complex plane (30E15)

Related Items (8)

Separation theorems for the zeros of certain hypergeometric polynomials ⋮ Pólya frequency sequences and real zeros of some \(_3F_2\) polynomials ⋮ On the zeros of Meixner polynomials ⋮ Regions of convergence of a Padé family of iterations for the matrix sector function and the matrix \(p\)th root ⋮ The dual Padé families of iterations for the matrix \(p\)th root and the matrix \(p\)-sector function ⋮ A Padé family of iterations for the matrix sign function and related problems ⋮ Quasi-orthogonality and real zeros of some \(_2F_2\) and \(_3F_2\) polynomials ⋮ Ratios of the Gauss hypergeometric functions with parameters shifted by integers: more on integral representations

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